Question

из пункта а в пункт б одновременно выехали на встречу друг другу велосипедист и мотоциклист . скорость велосипедиста 13 км/час в час а скорость мотоциклиста 52 км/час.скорость сближения велосибедиста и мотоциклистачерез какое время после начала движения велосипедмст и мотоциклист встретятся

Answer 1

Где расстояние между пунктом а и б 

Answer 2

Problem Analysis

We are given the speeds of a cyclist and a motorcyclist, and we need to find the time it takes for them to meet.

Solution

To find the time it takes for the cyclist and the motorcyclist to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed is the sum of their speeds since they are moving towards each other.

Let's calculate the time it takes for them to meet.

Calculation

The speed of the cyclist is 13 km/h, and the speed of the motorcyclist is 52 km/h.

The relative speed is the sum of their speeds: 13 km/h + 52 km/h = 65 km/h.

Now, we need to find the distance they travel to meet each other. Since they both start at the same time, the distance traveled by each of them will be the same.

Let's assume the distance they travel is D km.

The time it takes for the cyclist to meet the motorcyclist is given by:

Time = D / 65

Since the speeds are given in kilometers per hour, the time will be in hours.

Now, we need to find the value of D.

To find D, we can use the formula:

Distance = Speed × Time

The speed of the cyclist is 13 km/h, and the time is D / 65 hours. Therefore, the distance traveled by the cyclist is:

Distance = 13 × (D / 65) = D / 5

Similarly, the distance traveled by the motorcyclist is:

Distance = 52 × (D / 65) = 4D / 5

Since both distances are equal, we can equate them:

D / 5 = 4D / 5

Simplifying the equation, we get:

D = 5D / 4

Multiplying both sides by 4, we get:

4D = 5D

Subtracting 4D from both sides, we get:

D = 0

This means that the cyclist and the motorcyclist will meet at the starting point, as the distance traveled by both of them is 0.

Therefore, the time it takes for them to meet is 0 hours.

Answer

The cyclist and the motorcyclist will meet at the starting point, and it will take them 0 hours to meet.

Please let me know if I can help you with anything else.